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I have a daily rainfall data measured in (cm), i have put some threshold and derived a categorical variable whether it is a rainy day or a dry day.
From this data i want to calculate Probability of a future day given last n-days, e.g.
what is the probability of a day being a rainy day given last 3 days were rainy day? there can be four instances -

  1. P(rainy day| previous 3 rainy days) ?
  2. P(rainy day| previous 3 dry days) ?
  3. P(dry day | previous 3 rainy days) ?
  4. P(dry day | previous 3 dry days) ?

Thanks

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  • $\begingroup$ This is confusing: what would instances (2) and (4) have to do with the question, given that they concern the situation where the previous three days were dry rather than rainy? $\endgroup$ – whuber Mar 29 '19 at 13:58
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Use conditional probability here. For instance if you want to calculate a rainy day given 3 rainy days find ratio of P(3rainy days and 4th rainy day) to P(3rainy days). For numerator count all the cases of 4 consecutive days such that all four are rainy. For denominator count all cases such that 3consecutive days are rainy. Hope this helps you

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  • $\begingroup$ Thanks, Great help!! $\endgroup$ – JAbr Apr 3 '19 at 5:01

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